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Finding the Fourth Proportional to 34,201.70, 51,302.55 and 19,456.10

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Solution

The fourth proportional to 34,201.70, 51,302.55 and 19,456.10 is: 29,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201.70 : 51,302.55 = 19,456.10 : x
  2. Step 2: Convert to fraction form
    34,201.70/51,302.55 = 19,456.10/x
  3. Step 3: Cross multiply
    34,201.70x = 51,302.55 × 19,456.10
  4. Step 4: Simplify right side
    34,201.70x = 998,147,543.06
  5. Step 5: Solve for x
    x = 998,147,543.06/34,201.70
  6. Step 6: Final answer
    x = 29,184.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.